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      Question

      The ratio of length to breadth of a rectangle is 8:5.

      When the length and breadth of the rectangle is increased by 22% and decreased by 30% respectively, then its perimeter becomes 663 cm. Find the original area (in cm2) of the rectangle.
      A 22000 Correct Answer Incorrect Answer
      B 23000 Correct Answer Incorrect Answer
      C 25000 Correct Answer Incorrect Answer
      D 24000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the original length and breadth of the rectangle be 8x cm and 5x cm, respectively According to the question, 2 × {(1.22 × 8x) + (0.7 × 5x)} = 663 Or, 9.76x + 3.5x = 331.5 Or, x = 331.5/13.26 = 25 Therefore, original area of the rectangle = 8x × 5x = 40x2 = 25000 cm2

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